Pandas Profiling Report

Overview
Reproduction

Dataset statistics

Number of variables	10
Number of observations	442
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	34.7 KiB
Average record size in memory	80.3 B

Variable types

NUM	9
CAT	1

Reproduction

Analysis started	2020-06-04 10:50:36.924683
Analysis finished	2020-06-04 10:51:06.665355
Duration	29.74 seconds
Version	pandas-profiling v2.8.0
Command line	`pandas_profiling --config_file config.yaml [YOUR_FILE.csv]`
Download configuration	config.yaml

age
Real number (ℝ)

Distinct count	58
Unique (%)	13.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	-3.6396225400041895e-16
Minimum	-0.107225631607358
Maximum	0.110726675453815
Zeros	0
Zeros (%)	0.0%
Memory size	3.5 KiB

Quantile statistics

Minimum	-0.1072256316
5-th percentile	-0.0854304009
Q1	-0.03729926643
median	0.005383060374
Q3	0.03807590643
95-th percentile	0.07076875249
Maximum	0.1107266755
Range	0.2179523071
Interquartile range (IQR)	0.07537517286

Descriptive statistics

Standard deviation	0.04761904762
Coefficient of variation (CV)	-1.308351267e+14
Kurtosis	-0.6712236886
Mean	-3.63962254e-16
Median Absolute Deviation (MAD)	0.03632538451
Skewness	-0.231381533
Sum	-1.608713163e-13
Variance	0.002267573696

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0.01628067573	19	4.3%
0.04170844488	17	3.8%
0.009015598825	16	3.6%
-0.02730978568	15	3.4%
0.04534098334	14	3.2%
0.01264813728	14	3.2%
-0.05273755484	14	3.2%
-0.001882016528	14	3.2%
0.005383060374	13	2.9%
0.06713621404	13	2.9%
Other values (48)	293	66.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-0.1072256316	3	0.7%
-0.1035930932	3	0.7%
-0.09996055471	2	0.5%
-0.09632801625	4	0.9%
-0.0926954778	4	0.9%

Value	Count	Frequency (%)
0.1107266755	2	0.5%
0.09619652165	2	0.5%
0.0925639832	1	0.2%
0.08893144475	1	0.2%
0.0852989063	1	0.2%

sex
Categorical

Distinct count	2
Unique (%)	0.5%
Missing	0
Missing (%)	0.0%
Memory size	3.5 KiB

-0.04464163651	235
0.05068011874	207

Common Values
Length

Value	Count	Frequency (%)
-0.04464163651	235	53.2%
0.05068011874	207	46.8%

Length

Max length	18
Median length	18
Mean length	18
Min length	18

bmi
Real number (ℝ)

Distinct count	163
Unique (%)	36.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	-8.013951493363262e-16
Minimum	-0.0902752958985185
Maximum	0.17055522598066
Zeros	0
Zeros (%)	0.0%
Memory size	3.5 KiB

Quantile statistics

Minimum	-0.0902752959
5-th percentile	-0.06656343027
Q1	-0.03422906806
median	-0.00728376621
Q3	0.03124801543
95-th percentile	0.08540807214
Maximum	0.170555226
Range	0.2608305219
Interquartile range (IQR)	0.06547708349

Descriptive statistics

Standard deviation	0.04761904762
Coefficient of variation (CV)	-5.942018449e+13
Kurtosis	0.09509447428
Mean	-8.013951493e-16
Median Absolute Deviation (MAD)	0.03125655014
Skewness	0.5981484879
Sum	-3.54216656e-13
Variance	0.002267573696

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
-0.02452875939	8	1.8%
-0.03099563184	8	1.8%
-0.04608500087	7	1.6%
-0.008361578284	7	1.6%
-0.02560657147	7	1.6%
0.01427247527	6	1.4%
-0.03315125598	6	1.4%
-0.02345094732	6	1.4%
0.001338730381	6	1.4%
-0.0202175111	6	1.4%
Other values (153)	375	84.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-0.0902752959	1	0.2%
-0.08919748382	1	0.2%
-0.08488623553	1	0.2%
-0.08380842346	1	0.2%
-0.08165279931	2	0.5%

Value	Count	Frequency (%)
0.170555226	1	0.2%
0.1608549173	1	0.2%
0.1371430517	1	0.2%
0.1285205551	1	0.2%
0.127442743	1	0.2%

bp
Real number (ℝ)

Distinct count	100
Unique (%)	22.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	1.2898179256674614e-16
Minimum	-0.112399602060758
Maximum	0.132044217194516
Zeros	0
Zeros (%)	0.0%
Memory size	3.5 KiB

Quantile statistics

Minimum	-0.1123996021
5-th percentile	-0.07435588089
Q1	-0.0366564468
median	-0.005670610555
Q3	0.03564383777
95-th percentile	0.08367188395
Maximum	0.1320442172
Range	0.2444438193
Interquartile range (IQR)	0.07230028457

Descriptive statistics

Standard deviation	0.04761904762
Coefficient of variation (CV)	3.691920129e+14
Kurtosis	-0.5327797228
Mean	1.289817926e-16
Median Absolute Deviation (MAD)	0.03442870694
Skewness	0.2906638512
Sum	5.700995231e-14
Variance	0.002267573696

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
-0.005670610555	21	4.8%
-0.04009931749	21	4.8%
-0.02632783472	20	4.5%
0.02187235499	15	3.4%
-0.0332135761	14	3.2%
-0.02288496402	13	2.9%
-0.01255635194	11	2.5%
0.04941532054	11	2.5%
-0.01599922264	11	2.5%
0.00810087222	11	2.5%
Other values (90)	294	66.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-0.1123996021	1	0.2%
-0.1089567314	1	0.2%
-0.10207099	1	0.2%
-0.1009233664	1	0.2%
-0.09862811929	1	0.2%

Value	Count	Frequency (%)
0.1320442172	1	0.2%
0.1251584758	1	0.2%
0.1079441223	3	0.7%
0.1045012516	2	0.5%
0.101058381	1	0.2%

s1
Real number (ℝ)

Distinct count	141
Unique (%)	31.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	-9.042540472060098e-17
Minimum	-0.126780669916514
Maximum	0.153913713156516
Zeros	0
Zeros (%)	0.0%
Memory size	3.5 KiB

Quantile statistics

Minimum	-0.1267806699
5-th percentile	-0.07311850845
Q1	-0.0342478402
median	-0.004320865537
Q3	0.02835801485
95-th percentile	0.08367131975
Maximum	0.1539137132
Range	0.2806943831
Interquartile range (IQR)	0.06260585505

Descriptive statistics

Standard deviation	0.04761904762
Coefficient of variation (CV)	-5.26611385e+14
Kurtosis	0.2329479047
Mean	-9.042540472e-17
Median Absolute Deviation (MAD)	0.03095893931
Skewness	0.3781082069
Sum	-3.996802889e-14
Variance	0.002267573696

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
-0.007072771253	10	2.3%
-0.03734373413	10	2.3%
0.02044628591	9	2.0%
0.01219056876	9	2.0%
0.001182945896	8	1.8%
-0.002944912678	8	1.8%
-0.02496015841	8	1.8%
-0.004320865537	8	1.8%
0.02457414449	8	1.8%
-0.005696818395	7	1.6%
Other values (131)	357	80.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-0.1267806699	1	0.2%
-0.1088932828	1	0.2%
-0.1047654242	1	0.2%
-0.1033894713	1	0.2%
-0.1006375656	1	0.2%

Value	Count	Frequency (%)
0.1539137132	1	0.2%
0.1525377603	1	0.2%
0.1332744203	1	0.2%
0.1277706089	2	0.5%
0.126394656	1	0.2%

s2
Real number (ℝ)

Distinct count	302
Unique (%)	68.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	1.3011211012575365e-16
Minimum	-0.115613065979398
Maximum	0.198787989657293
Zeros	0
Zeros (%)	0.0%
Memory size	3.5 KiB

Quantile statistics

Minimum	-0.115613066
5-th percentile	-0.07271172671
Q1	-0.03035839726
median	-0.003819065121
Q3	0.02984439452
95-th percentile	0.07946276829
Maximum	0.1987879897
Range	0.3144010556
Interquartile range (IQR)	0.06020279178

Descriptive statistics

Standard deviation	0.04761904762
Coefficient of variation (CV)	3.659847463e+14
Kurtosis	0.6013811504
Mean	1.301121101e-16
Median Absolute Deviation (MAD)	0.0299056781
Skewness	0.4365918037
Sum	5.750955268e-14
Variance	0.002267573696

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0.01622243643	5	1.1%
-0.001000728964	5	1.1%
-0.02480001206	4	0.9%
-0.04703355285	4	0.9%
-0.0138398159	4	0.9%
0.056618588	4	0.9%
-0.003819065121	3	0.7%
-0.02323426975	3	0.7%
-0.01571870667	3	0.7%
0.006201685657	3	0.7%
Other values (292)	404	91.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-0.115613066	1	0.2%
-0.1127947298	1	0.2%
-0.106844909	1	0.2%
-0.1043397214	1	0.2%
-0.1008950883	1	0.2%

Value	Count	Frequency (%)
0.1987879897	1	0.2%
0.1558866504	1	0.2%
0.1314610704	1	0.2%
0.1302084765	1	0.2%
0.1280164373	1	0.2%

s3
Real number (ℝ)

Distinct count	63
Unique (%)	14.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	-4.563971121592555e-16
Minimum	-0.10230705051742
Maximum	0.181179060397284
Zeros	0
Zeros (%)	0.0%
Memory size	3.5 KiB

Quantile statistics

Minimum	-0.1023070505
5-th percentile	-0.06549067248
Q1	-0.03511716059
median	-0.006584467611
Q3	0.02931150098
95-th percentile	0.07790911999
Maximum	0.1811790604
Range	0.2834861109
Interquartile range (IQR)	0.06442866157

Descriptive statistics

Standard deviation	0.04761904762
Coefficient of variation (CV)	-1.043368732e+14
Kurtosis	0.9815074614
Mean	-4.563971122e-16
Median Absolute Deviation (MAD)	0.03129392133
Skewness	0.7992551183
Sum	-2.017275236e-13
Variance	0.002267573696

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
-0.01394774322	22	5.0%
-0.04340084565	19	4.3%
-0.03971920785	18	4.1%
-0.002902829807	15	3.4%
-0.03235593224	15	3.4%
0.008142083605	15	3.4%
-0.02131101883	15	3.4%
-0.02867429444	15	3.4%
-0.006584467611	14	3.2%
0.01550535921	14	3.2%
Other values (53)	280	63.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-0.1023070505	1	0.2%
-0.09862541271	1	0.2%
-0.09126213711	1	0.2%
-0.08021722369	2	0.5%
-0.07653558589	5	1.1%

Value	Count	Frequency (%)
0.1811790604	1	0.2%
0.1774974226	1	0.2%
0.1738157848	1	0.2%
0.1590892336	1	0.2%
0.151725958	1	0.2%

s4
Real number (ℝ)

Distinct count	66
Unique (%)	14.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	3.8631742350078977e-16
Minimum	-0.076394503750001
Maximum	0.185234443260194
Zeros	0
Zeros (%)	0.0%
Memory size	3.5 KiB

Quantile statistics

Minimum	-0.07639450375
5-th percentile	-0.07639450375
Q1	-0.03949338287
median	-0.002592261998
Q3	0.03430885888
95-th percentile	0.08076737006
Maximum	0.1852344433
Range	0.261628947
Interquartile range (IQR)	0.07380224175

Descriptive statistics

Standard deviation	0.04761904762
Coefficient of variation (CV)	1.232640433e+14
Kurtosis	0.4444016718
Mean	3.863174235e-16
Median Absolute Deviation (MAD)	0.03690112088
Skewness	0.7353736479
Sum	1.707523012e-13
Variance	0.002267573696

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
-0.03949338287	128	29.0%
-0.002592261998	108	24.4%
0.03430885888	68	15.4%
0.07120997975	33	7.5%
-0.07639450375	28	6.3%
0.1081111006	13	2.9%
0.1450122215	2	0.5%
-0.02141183364	2	0.5%
-0.03764832683	2	0.5%
0.01585829844	2	0.5%
Other values (56)	56	12.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-0.07639450375	28	6.3%
-0.07085933562	1	0.2%
-0.06938329078	1	0.2%
-0.05351580881	1	0.2%
-0.05167075276	1	0.2%

Value	Count	Frequency (%)
0.1852344433	1	0.2%
0.1553445354	1	0.2%
0.1450122215	2	0.5%
0.1413221094	1	0.2%
0.1302517732	1	0.2%

s5
Real number (ℝ)

Distinct count	184
Unique (%)	41.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	-3.848103334221131e-16
Minimum	-0.126097385560409
Maximum	0.133598980013008
Zeros	0
Zeros (%)	0.0%
Memory size	3.5 KiB

Quantile statistics

Minimum	-0.1260973856
5-th percentile	-0.0721284546
Q1	-0.03324878725
median	-0.001947634157
Q3	0.03243322578
95-th percentile	0.07904666678
Maximum	0.13359898
Range	0.2596963656
Interquartile range (IQR)	0.06568201303

Descriptive statistics

Standard deviation	0.04761904762
Coefficient of variation (CV)	-1.237468007e+14
Kurtosis	-0.1343658334
Mean	-3.848103334e-16
Median Absolute Deviation (MAD)	0.03314062486
Skewness	0.2917738324
Sum	-1.700861674e-13
Variance	0.002267573696

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
-0.01811826731	11	2.5%
-0.03075120986	10	2.3%
-0.04118038519	8	1.8%
-0.02595242444	7	1.6%
-0.05140053526	7	1.6%
-0.03324878725	7	1.6%
-0.02364455757	6	1.4%
-0.01090443585	6	1.4%
-0.06117659509	6	1.4%
0.01556684454	6	1.4%
Other values (174)	368	83.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-0.1260973856	1	0.2%
-0.1043648208	1	0.2%
-0.1016435479	1	0.2%
-0.09643322289	4	0.9%
-0.09393564551	1	0.2%

Value	Count	Frequency (%)
0.13359898	2	0.5%
0.1333957338	1	0.2%
0.1323726493	1	0.2%
0.1300806095	1	0.2%
0.1290194116	1	0.2%

s6
Real number (ℝ)

Distinct count	56
Unique (%)	12.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	-3.39848812741592e-16
Minimum	-0.137767225690012
Maximum	0.135611830689079
Zeros	0
Zeros (%)	0.0%
Memory size	3.5 KiB

Quantile statistics

Minimum	-0.1377672257
5-th percentile	-0.07563562197
Q1	-0.03317902609
median	-0.0010776975
Q3	0.0279170509
95-th percentile	0.0817644408
Maximum	0.1356118307
Range	0.2733790564
Interquartile range (IQR)	0.06109607699

Descriptive statistics

Standard deviation	0.04761904762
Coefficient of variation (CV)	-1.401183286e+14
Kurtosis	0.2369167379
Mean	-3.398488127e-16
Median Absolute Deviation (MAD)	0.0289947484
Skewness	0.2079166162
Sum	-1.502131752e-13
Variance	0.002267573696

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0.003064409414	22	5.0%
0.01963283707	20	4.5%
0.007206516329	20	4.5%
-0.0010776975	19	4.3%
-0.01764612516	16	3.6%
-0.01350401824	16	3.6%
-0.03835665973	15	3.4%
-0.00936191133	14	3.2%
-0.005219804415	14	3.2%
0.01549073016	14	3.2%
Other values (46)	272	61.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-0.1377672257	1	0.2%
-0.1294830119	2	0.5%
-0.1046303704	2	0.5%
-0.09634615654	2	0.5%
-0.09220404963	4	0.9%

Value	Count	Frequency (%)
0.1356118307	3	0.7%
0.1314697238	2	0.5%
0.1273276169	1	0.2%
0.119043403	2	0.5%
0.1066170823	4	0.9%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

First rows

	age	sex	bmi	bp	s1	s2	s3	s4	s5	s6
0	0.038076	0.050680	0.061696	0.021872	-0.044223	-0.034821	-0.043401	-0.002592	0.019908	-0.017646
1	-0.001882	-0.044642	-0.051474	-0.026328	-0.008449	-0.019163	0.074412	-0.039493	-0.068330	-0.092204
2	0.085299	0.050680	0.044451	-0.005671	-0.045599	-0.034194	-0.032356	-0.002592	0.002864	-0.025930
3	-0.089063	-0.044642	-0.011595	-0.036656	0.012191	0.024991	-0.036038	0.034309	0.022692	-0.009362
4	0.005383	-0.044642	-0.036385	0.021872	0.003935	0.015596	0.008142	-0.002592	-0.031991	-0.046641
5	-0.092695	-0.044642	-0.040696	-0.019442	-0.068991	-0.079288	0.041277	-0.076395	-0.041180	-0.096346
6	-0.045472	0.050680	-0.047163	-0.015999	-0.040096	-0.024800	0.000779	-0.039493	-0.062913	-0.038357
7	0.063504	0.050680	-0.001895	0.066630	0.090620	0.108914	0.022869	0.017703	-0.035817	0.003064
8	0.041708	0.050680	0.061696	-0.040099	-0.013953	0.006202	-0.028674	-0.002592	-0.014956	0.011349
9	-0.070900	-0.044642	0.039062	-0.033214	-0.012577	-0.034508	-0.024993	-0.002592	0.067736	-0.013504

Last rows

	age	sex	bmi	bp	s1	s2	s3	s4	s5	s6
432	0.009016	-0.044642	0.055229	-0.005671	0.057597	0.044719	-0.002903	0.023239	0.055684	0.106617
433	-0.027310	-0.044642	-0.060097	-0.029771	0.046589	0.019980	0.122273	-0.039493	-0.051401	-0.009362
434	0.016281	-0.044642	0.001339	0.008101	0.005311	0.010899	0.030232	-0.039493	-0.045421	0.032059
435	-0.012780	-0.044642	-0.023451	-0.040099	-0.016704	0.004636	-0.017629	-0.002592	-0.038459	-0.038357
436	-0.056370	-0.044642	-0.074108	-0.050428	-0.024960	-0.047034	0.092820	-0.076395	-0.061177	-0.046641
437	0.041708	0.050680	0.019662	0.059744	-0.005697	-0.002566	-0.028674	-0.002592	0.031193	0.007207
438	-0.005515	0.050680	-0.015906	-0.067642	0.049341	0.079165	-0.028674	0.034309	-0.018118	0.044485
439	0.041708	0.050680	-0.015906	0.017282	-0.037344	-0.013840	-0.024993	-0.011080	-0.046879	0.015491
440	-0.045472	-0.044642	0.039062	0.001215	0.016318	0.015283	-0.028674	0.026560	0.044528	-0.025930
441	-0.045472	-0.044642	-0.073030	-0.081414	0.083740	0.027809	0.173816	-0.039493	-0.004220	0.003064

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows